A study on strongly convex hyper S-subposets in hyper S-posets
| Autor: | Xiang-Yun Xie, Jian Tang, Bijan Davvaz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
hyper s-poset
Mathematics::Combinatorics 20n20 General Mathematics 20m30 010102 general mathematics 02 engineering and technology hyper c-subposet greatest hyper c-subposet 01 natural sciences Combinatorics 06f05 strongly convex hyper s-subposet Computer Science::Discrete Mathematics 0202 electrical engineering electronic engineering information engineering QA1-939 020201 artificial intelligence & image processing base 0101 mathematics Convex function Mathematics |
| Zdroj: | Open Mathematics, Vol 18, Iss 1, Pp 1935-1951 (2020) |
| ISSN: | 2391-5455 |
| Popis: | In this paper, we study various strongly convex hyper S-subposets of hyper S-posets in detail. To begin with, we consider the decomposition of hyper S-posets. A unique decomposition theorem for hyper S-posets is given based on strongly convex indecomposable hyper S-subposets. Furthermore, we discuss the properties of minimal and maximal strongly convex hyper S-subposets of hyper S-posets. In the sequel, the concept of hyper C-subposets of a hyper S-poset is introduced, and several related properties are investigated. In particular, we discuss the relationship between greatest strongly convex hyper S-subposets and hyper C-subposets of hyper S-posets. Moreover, we introduce the concept of bases of a hyper S-poset and give out the sufficient and necessary conditions of the existence of the greatest hyper C-subposets of a hyper S-poset by the properties of bases. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|